3d-20=d(d-6)

Solution for 3d-20=d(d-6) equation:

Simplifying
3d + -20 = d(d + -6)

Reorder the terms:
-20 + 3d = d(d + -6)

Reorder the terms:
-20 + 3d = d(-6 + d)
-20 + 3d = (-6 * d + d * d)
-20 + 3d = (-6d + d2)

Solving
-20 + 3d = -6d + d2

Solving for variable 'd'.

Combine like terms: 3d + 6d = 9d
-20 + 9d + -1d2 = -6d + d2 + 6d + -1d2

Reorder the terms:
-20 + 9d + -1d2 = -6d + 6d + d2 + -1d2

Combine like terms: -6d + 6d = 0
-20 + 9d + -1d2 = 0 + d2 + -1d2
-20 + 9d + -1d2 = d2 + -1d2

Combine like terms: d2 + -1d2 = 0
-20 + 9d + -1d2 = 0

Factor a trinomial.
(-5 + d)(4 + -1d) = 0

Subproblem 1
Set the factor '(-5 + d)' equal to zero and attempt to solve:

Simplifying
-5 + d = 0

Solving
-5 + d = 0

Move all terms containing d to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + d = 0 + 5
d = 0 + 5

Combine like terms: 0 + 5 = 5
d = 5

Simplifying
d = 5
Subproblem 2
Set the factor '(4 + -1d)' equal to zero and attempt to solve:

Simplifying
4 + -1d = 0

Solving
4 + -1d = 0

Move all terms containing d to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1d = 0 + -4
-1d = 0 + -4

Combine like terms: 0 + -4 = -4
-1d = -4

Divide each side by '-1'.
d = 4

Simplifying
d = 4
Solution
d = {5, 4}